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Finding the Fourth Proportional to 10,461.44, 15,678.82 and 4,902.53

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Solution

The fourth proportional to 10,461.44, 15,678.82 and 4,902.53 is: 7,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.44 : 15,678.82 = 4,902.53 : x
  2. Step 2: Convert to fraction form
    10,461.44/15,678.82 = 4,902.53/x
  3. Step 3: Cross multiply
    10,461.44x = 15,678.82 × 4,902.53
  4. Step 4: Simplify right side
    10,461.44x = 76,865,813.15
  5. Step 5: Solve for x
    x = 76,865,813.15/10,461.44
  6. Step 6: Final answer
    x = 7,347.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.